%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:21 PM UTC 2026
% Result : Theorem 3.38s 1.47s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 25 unt; 5 def)
% Number of atoms : 266 ( 8 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 315 ( 148 ~; 140 |; 15 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2144) ).
fof(f64,axiom,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2348) ).
fof(f65,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f66,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(flattening,[],[f66]) ).
fof(f80,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f81,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f80]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f86,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f85]) ).
fof(f110,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f111]) ).
fof(f119,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f120,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f119]) ).
fof(f164,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f166,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f168,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f170,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f172,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f173,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f181,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f64]) ).
fof(f182,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f67]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f188,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f210,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f112]) ).
fof(f219,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f390,definition,
( spl2_9
<=> aScalar0(smndt0(xS)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f391,plain,
( aScalar0(smndt0(xS))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( ~ aScalar0(smndt0(xS))
| spl2_9 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f399,plain,
( ~ aScalar0(xS)
| spl2_9 ),
inference(resolution,[],[f392,f210]) ).
fof(f400,plain,
( $false
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f399,f168]) ).
fof(f401,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f490,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(superposition,[],[f188,f173]) ).
fof(f491,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f492,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f491,f391]) ).
fof(f509,definition,
( spl2_11
<=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f510,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f511,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| spl2_11 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f513,definition,
( spl2_12
<=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f514,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| spl2_12 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f522,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| spl2_11 ),
inference(resolution,[],[f511,f219]) ).
fof(f523,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f522,f492]) ).
fof(f551,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| ~ spl2_9
| spl2_11 ),
inference(resolution,[],[f523,f188]) ).
fof(f552,plain,
( ~ aScalar0(xR)
| ~ spl2_9
| spl2_11 ),
inference(duplicate_literal_removal,[],[f551]) ).
fof(f553,plain,
( $false
| ~ spl2_9
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f552,f164]) ).
fof(f554,plain,
( ~ spl2_9
| spl2_11 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f562,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| spl2_12 ),
inference(resolution,[],[f515,f219]) ).
fof(f563,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_12 ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f585,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_12 ),
inference(resolution,[],[f563,f188]) ).
fof(f586,plain,
( ~ aScalar0(xP)
| spl2_12 ),
inference(duplicate_literal_removal,[],[f585]) ).
fof(f587,plain,
( $false
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f586,f166]) ).
fof(f588,plain,
spl2_12,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f679,definition,
( spl2_22
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f680,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl2_22 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f692,definition,
( spl2_25
<=> aScalar0(sdtpldt0(xN,xN)) ),
introduced(definition,[new_symbols(definition,[spl2_25])],[avatar_definition]) ).
fof(f693,plain,
( aScalar0(sdtpldt0(xN,xN))
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( ~ aScalar0(sdtpldt0(xN,xN))
| spl2_25 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f757,plain,
( ~ aScalar0(xN)
| ~ aScalar0(xN)
| spl2_25 ),
inference(resolution,[],[f694,f219]) ).
fof(f758,plain,
( ~ aScalar0(xN)
| spl2_25 ),
inference(duplicate_literal_removal,[],[f757]) ).
fof(f759,plain,
( $false
| spl2_25 ),
inference(forward_subsumption_resolution,[],[f758,f170]) ).
fof(f760,plain,
spl2_25,
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f875,plain,
! [X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(resolution,[],[f185,f181]) ).
fof(f881,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) )
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f875,f693]) ).
fof(f888,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(X0,sdtpldt0(xN,xN))
| ~ aScalar0(X0) )
| ~ spl2_11
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f881,f510]) ).
fof(f1566,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ spl2_11
| ~ spl2_25 ),
inference(resolution,[],[f888,f182]) ).
fof(f1569,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(xN,xN))
| ~ spl2_11
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1566,f514]) ).
fof(f1572,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_11
| ~ spl2_12
| ~ spl2_25 ),
inference(resolution,[],[f1569,f211]) ).
fof(f1576,plain,
( ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_11
| ~ spl2_12
| ~ spl2_25 ),
inference(duplicate_literal_removal,[],[f1572]) ).
fof(f1775,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_22 ),
inference(resolution,[],[f681,f188]) ).
fof(f1776,plain,
( ~ aScalar0(xP)
| spl2_22 ),
inference(duplicate_literal_removal,[],[f1775]) ).
fof(f1777,plain,
( $false
| spl2_22 ),
inference(forward_subsumption_resolution,[],[f1776,f166]) ).
fof(f1778,plain,
spl2_22,
inference(avatar_contradiction_clause,[],[f1777]) ).
fof(f1781,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl2_11
| ~ spl2_12
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1576,f172]) ).
fof(f1784,plain,
( ~ aScalar0(xN)
| ~ spl2_11
| ~ spl2_12
| ~ spl2_22
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1781,f680]) ).
fof(f1794,plain,
( $false
| ~ spl2_11
| ~ spl2_12
| ~ spl2_22
| ~ spl2_25 ),
inference(forward_subsumption_resolution,[],[f1784,f170]) ).
fof(f1795,plain,
( ~ spl2_11
| ~ spl2_12
| ~ spl2_22
| ~ spl2_25 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
cnf(s10,plain,
spl2_9,
inference(sat_conversion,[],[f401]) ).
cnf(s15,plain,
( ~ spl2_9
| spl2_11 ),
inference(sat_conversion,[],[f554]) ).
cnf(s16,plain,
spl2_12,
inference(sat_conversion,[],[f588]) ).
cnf(s25,plain,
spl2_25,
inference(sat_conversion,[],[f760]) ).
cnf(s63,plain,
spl2_22,
inference(sat_conversion,[],[f1778]) ).
cnf(s65,plain,
( ~ spl2_11
| ~ spl2_12
| ~ spl2_22
| ~ spl2_25 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s76,plain,
~ spl2_11,
inference(rat,[],[s65,s25,s63,s16]) ).
cnf(s77,plain,
~ spl2_9,
inference(rat,[],[s15,s76]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s10,s77]) ).
fof(f1796,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:05:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.38/1.47 % (3434120)Detected formulas, will run a generic FOF schedule.
% 3.38/1.47 % (3434126)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2030737407:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/1.47 % (3434130)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1407422793:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/1.47 % (3434131)dis-21_1_sil=8000:lcm=predicate:random_seed=1334937477:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.38/1.47 % (3434128)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3327064248:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/1.47 % (3434125)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2638197683:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/1.47 % (3434127)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2645106561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/1.47 % (3434129)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4110307160:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/1.47 % (3434128)Instruction limit reached!
% 3.38/1.47 % (3434128)------------------------------
% 3.38/1.47 % (3434128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434128)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434128)Termination reason: Instruction limit
% 3.38/1.47 % (3434128)Termination phase: Saturation
% 3.38/1.47 % (3434128)Time elapsed: 0.057 s
% 3.38/1.47 % (3434128)Peak memory usage: 89 MB
% 3.38/1.47 % (3434128)Instructions burned: 111 (million)
% 3.38/1.47 % (3434131)Instruction limit reached!
% 3.38/1.47 % (3434131)------------------------------
% 3.38/1.47 % (3434131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434131)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434131)Termination reason: Instruction limit
% 3.38/1.47 % (3434131)Termination phase: Saturation
% 3.38/1.47 % (3434131)Time elapsed: 0.061 s
% 3.38/1.47 % (3434131)Peak memory usage: 89 MB
% 3.38/1.47 % (3434131)Instructions burned: 131 (million)
% 3.38/1.47 % (3434129)Instruction limit reached!
% 3.38/1.47 % (3434129)------------------------------
% 3.38/1.47 % (3434129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434129)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434129)Termination reason: Instruction limit
% 3.38/1.47 % (3434129)Termination phase: Saturation
% 3.38/1.47 % (3434129)Time elapsed: 0.068 s
% 3.38/1.47 % (3434129)Peak memory usage: 88 MB
% 3.38/1.47 % (3434129)Instructions burned: 120 (million)
% 3.38/1.47 % (3434130)Instruction limit reached!
% 3.38/1.47 % (3434130)------------------------------
% 3.38/1.47 % (3434130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434130)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434130)Termination reason: Instruction limit
% 3.38/1.47 % (3434130)Termination phase: Saturation
% 3.38/1.47 % (3434130)Time elapsed: 0.093 s
% 3.38/1.47 % (3434130)Peak memory usage: 90 MB
% 3.38/1.47 % (3434130)Instructions burned: 139 (million)
% 3.38/1.47 % (3434140)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1200663403:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.38/1.47 % (3434139)lrs+10_1_sil=8000:sp=occurrence:random_seed=3834854682:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.38/1.47 % (3434141)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2176509977:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.38/1.47 % (3434142)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=523923464:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.38/1.47 % (3434139)First to succeed.
% 3.38/1.47 % (3434139)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3434120"
% 3.38/1.47 % (3434140)Instruction limit reached!
% 3.38/1.47 % (3434140)------------------------------
% 3.38/1.47 % (3434140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434140)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434140)Termination reason: Instruction limit
% 3.38/1.47 % (3434140)Termination phase: Saturation
% 3.38/1.47 % (3434140)Time elapsed: 0.071 s
% 3.38/1.47 % (3434140)Peak memory usage: 90 MB
% 3.38/1.47 % (3434140)Instructions burned: 159 (million)
% 3.38/1.47 % (3434142)Instruction limit reached!
% 3.38/1.47 % (3434142)------------------------------
% 3.38/1.47 % (3434142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434142)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434142)Termination reason: Instruction limit
% 3.38/1.47 % (3434142)Termination phase: Saturation
% 3.38/1.47 % (3434142)Time elapsed: 0.113 s
% 3.38/1.47 % (3434142)Peak memory usage: 94 MB
% 3.38/1.47 % (3434142)Instructions burned: 250 (million)
% 3.38/1.47 % (3434147)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3942204431:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.38/1.47 % (3434141)Instruction limit reached!
% 3.38/1.47 % (3434141)------------------------------
% 3.38/1.47 % (3434141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.47 % (3434141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.47 % (3434141)CaDiCaL version: 2.1.3
% 3.38/1.47 % (3434141)Termination reason: Instruction limit
% 3.38/1.47 % (3434141)Termination phase: Saturation
% 3.38/1.47 % (3434141)Time elapsed: 0.198 s
% 3.38/1.47 % (3434141)Peak memory usage: 94 MB
% 3.38/1.47 % (3434141)Instructions burned: 325 (million)
% 3.38/1.47 % (3434139)Refutation found. Thanks to Tanya!
% 3.38/1.47 % SZS status Theorem for theBenchmark
% 3.38/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 4.92/1.66 % (3434139)------------------------------
% 4.92/1.66 % (3434139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.66 % (3434139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.66 % (3434139)CaDiCaL version: 2.1.3
% 4.92/1.66 % (3434139)Termination reason: Refutation
% 4.92/1.66 % (3434139)Time elapsed: 0.041 s
% 4.92/1.66 % (3434139)Peak memory usage: 90 MB
% 4.92/1.66 % (3434139)Instructions burned: 62 (million)
% 4.92/1.66 % (3434139)------------------------------
% 4.92/1.66 % (3434139)------------------------------
% 4.92/1.66 % (3434120)Success in time 0.615 s
% 4.92/1.66 % Vampire exiting
%------------------------------------------------------------------------------